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Finding the Third Proportional to 9,865 and 13,877

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Solution

The third proportional to 9,865 and 13,877 is: 19,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865 : 13,877 = 13,877 : x
  2. Step 2: Convert to fraction form
    9,865/13,877 = 13,877/x
  3. Step 3: Cross multiply
    9,865x = 13,877 × 13,877
  4. Step 4: Simplify right side
    9,865x = 192,571,129
  5. Step 5: Solve for x
    x = 192,571,129/9,865
  6. Step 6: Final answer
    x = 19,520.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.